Answer:
HERE
Explanation:
To determine which system has x = 3 and y = 2.5 as its solution, we need to substitute these values into each system of equations and check which one satisfies the conditions.
System 1: 7x - 5y = 33.5
Substituting x = 3 and y = 2.5:
7(3) - 5(2.5) = 21 - 12.5 = 8.5
System 2: 3x + 3y = 1.5
Substituting x = 3 and y = 2.5:
3(3) + 3(2.5) = 9 + 7.5 = 16.5
System 3: 4x + y = 9.5
Substituting x = 3 and y = 2.5:
4(3) + 2.5 = 12 + 2.5 = 14.5
System 4: 5x - y = 12.5
Substituting x = 3 and y = 2.5:
5(3) - 2.5 = 15 - 2.5 = 12.5
System 5: 2x - 5y = 18.5
Substituting x = 3 and y = 2.5:
2(3) - 5(2.5) = 6 - 12.5 = -6.5
System 6: x + y = 5.5
Substituting x = 3 and y = 2.5:
3 + 2.5 = 5.5
System 7: 11x + 10y = 8
Substituting x = 3 and y = 2.5:
11(3) + 10(2.5) = 33 + 25 = 58
System 8: 5x - 2y = -20
Substituting x = 3 and y = 2.5:
5(3) - 2(2.5) = 15 - 5 = 10
From the calculations, we can see that only System 4: 5x - y = 12.5 satisfies the given conditions when x = 3 and y = 2.5. Therefore, the correct answer is System 4.